The generator matrix

 1  0  0  0  1  1  1  1 10  8  1  1  1 14  2  1 14  1  2  4  1  1  8  1  4  6  1 14  1  1 10  2  1  1  6 12  1 14  2  8  1  6
 0  1  0  0  0  8  5 11  1  1 13 15 14  1  4  2  1  3  1 10  1  0  6 13  1  4  8  1  2 14  1  1  7  5 10  1 10  1  1  1  4  1
 0  0  1  0  1 14  8  2  2  3 15 15  7  5  1  1  4 13  3  0  4  4  1  6  3  1 12  6  1  2  6  9  4  5  8  6  0 11  9  8 12 15
 0  0  0  1  1  3 11  8  1  7 10  7  4  6 11  3  8  9  0  1 12 14 10  5  0  9 15  3  6 11  4  9 14  2  1 15  0  9  7 11  2  2
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  0  8  8  8  0  8  0

generates a code of length 42 over Z16 who´s minimum homogenous weight is 36.

Homogenous weight enumerator: w(x)=1x^0+737x^36+2392x^37+5140x^38+10504x^39+14411x^40+20876x^41+22086x^42+21980x^43+15183x^44+9940x^45+4630x^46+2160x^47+696x^48+228x^49+74x^50+12x^51+12x^52+4x^53+6x^54

The gray image is a code over GF(2) with n=336, k=17 and d=144.
This code was found by Heurico 1.16 in 283 seconds.